Talk:Invariant estimator

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Equivariant?

Can someone say where the term "equivariant" has been used ... it is not in any of my dictionaries of maths or stats. Melcombe (talk) 09:32, 12 May 2008 (UTC)[reply]

It appears, for example, in Lehmann and Casella, Theory of Point Estimation. --Zvika (talk) 18:17, 12 May 2008 (UTC)[reply]

non-Bayesian?

Should such prominence be given to "non-Bayesian"? After all ideas of invariance can be applied to Bayesian estimation just as well. Consider for example HPD (highest posterior density) estimation (either point or interval estimates), which is not invariant to transformation of the parameters. Melcombe (talk) 09:14, 19 May 2008 (UTC)[reply]

Can you provide a source dealing with Bayesian equivariant estimators? I haven't encountered one. --Zvika (talk) 18:33, 19 May 2008 (UTC)[reply]